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dc.contributor.author
Loebbert, Florian
dc.contributor.author
Miczajka, Julian
dc.contributor.author
Müller, Dennis
dc.contributor.author
Münkler, Hagen
dc.date.accessioned
2020-09-10T08:58:04Z
dc.date.available
2020-09-09T03:03:21Z
dc.date.available
2020-09-10T08:58:04Z
dc.date.issued
2020-08-25
dc.identifier.issn
0031-9007
dc.identifier.issn
1079-7114
dc.identifier.other
10.1103/PhysRevLett.125.091602
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/439164
dc.identifier.doi
10.3929/ethz-b-000439164
dc.description.abstract
In the context of planar holography, integrability plays an important role for solving certain massless quantum field theories such as N = 4 super Yang-Mills theory. In this Letter, we show that integrability also features in the building blocks of massive quantum field theories. At one-loop order we prove that all massive n-gon Feynman integrals in generic spacetime dimensions are invariant under a massive Yangian symmetry. At two loops similar statements can be proven for graphs built from two n-gons. At generic loop order we conjecture that all graphs cut from regular Wings of the plane with massive propagators on the boundary are invariant. We support this conjecture by a number of numerical tests for higher loops and legs. The observed Yangian extends the bosonic part of the massive dual conformal symmetry that was found a decade ago on the Coulomb branch of N = 4 super Yang-Mills theory. By translating the Yangian level-one generators from dual to original momentum space, we introduce a massive generalization of momentum space conformal symmetry. Even for non-dual-conformal integrals this novel symmetry persists. The Yangian can thus be understood as the closure of massive dual conformal symmetry and this new massive momentum space conformal symmetry, which suggests an interpretation via AdS/CFT. As an application of our findings, we bootstrap the hypergeometric building blocks for examples of massive Feynman integrals.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
American Physical Society
en_US
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
dc.title
Massive Conformal Symmetry and Integrability for Feynman Integrals
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution 4.0 International
ethz.journal.title
Physical Review Letters
ethz.journal.volume
125
en_US
ethz.journal.issue
9
en_US
ethz.journal.abbreviated
Phys. Rev. Lett.
ethz.pages.start
091602
en_US
ethz.size
6 p.
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.grant
Extended Symmetries in Gauge and Gravity Theories
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
College Park, MD
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02010 - Dep. Physik / Dep. of Physics::02511 - Institut für Theoretische Physik / Institute for Theoretical Physics::03896 - Beisert, Niklas / Beisert, Niklas
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02010 - Dep. Physik / Dep. of Physics::02511 - Institut für Theoretische Physik / Institute for Theoretical Physics::03896 - Beisert, Niklas / Beisert, Niklas
ethz.grant.agreementno
615203
ethz.grant.fundername
EC
ethz.grant.funderDoi
10.13039/501100000780
ethz.grant.program
FP7
ethz.date.deposited
2020-09-09T03:03:25Z
ethz.source
WOS
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2020-09-10T08:58:15Z
ethz.rosetta.lastUpdated
2022-03-29T03:05:54Z
ethz.rosetta.exportRequired
true
ethz.rosetta.versionExported
true
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